780=(x+8)(2x-6)

Solution for 780=(x+8)(2x-6) equation:

Simplifying
780 = (x + 8)(2x + -6)

Reorder the terms:
780 = (8 + x)(2x + -6)

Reorder the terms:
780 = (8 + x)(-6 + 2x)

Multiply (8 + x) * (-6 + 2x)
780 = (8(-6 + 2x) + x(-6 + 2x))
780 = ((-6 * 8 + 2x * 8) + x(-6 + 2x))
780 = ((-48 + 16x) + x(-6 + 2x))
780 = (-48 + 16x + (-6 * x + 2x * x))
780 = (-48 + 16x + (-6x + 2x2))

Combine like terms: 16x + -6x = 10x
780 = (-48 + 10x + 2x2)

Solving
780 = -48 + 10x + 2x2

Solving for variable 'x'.

Combine like terms: 780 + 48 = 828
828 + -10x + -2x2 = -48 + 10x + 2x2 + 48 + -10x + -2x2

Reorder the terms:
828 + -10x + -2x2 = -48 + 48 + 10x + -10x + 2x2 + -2x2

Combine like terms: -48 + 48 = 0
828 + -10x + -2x2 = 0 + 10x + -10x + 2x2 + -2x2
828 + -10x + -2x2 = 10x + -10x + 2x2 + -2x2

Combine like terms: 10x + -10x = 0
828 + -10x + -2x2 = 0 + 2x2 + -2x2
828 + -10x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
828 + -10x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(414 + -5x + -1x2) = 0

Factor a trinomial.
2((18 + -1x)(23 + x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(18 + -1x)' equal to zero and attempt to solve:

Simplifying
18 + -1x = 0

Solving
18 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-18' to each side of the equation.
18 + -18 + -1x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1x = 0 + -18
-1x = 0 + -18

Combine like terms: 0 + -18 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18
Subproblem 2
Set the factor '(23 + x)' equal to zero and attempt to solve:

Simplifying
23 + x = 0

Solving
23 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-23' to each side of the equation.
23 + -23 + x = 0 + -23

Combine like terms: 23 + -23 = 0
0 + x = 0 + -23
x = 0 + -23

Combine like terms: 0 + -23 = -23
x = -23

Simplifying
x = -23
Solution
x = {18, -23}